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Finding the Fourth Proportional to 471.02, 705.50 and 287.87

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Solution

The fourth proportional to 471.02, 705.50 and 287.87 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.02 : 705.50 = 287.87 : x
  2. Step 2: Convert to fraction form
    471.02/705.50 = 287.87/x
  3. Step 3: Cross multiply
    471.02x = 705.50 × 287.87
  4. Step 4: Simplify right side
    471.02x = 203,089.48
  5. Step 5: Solve for x
    x = 203,089.48/471.02
  6. Step 6: Final answer
    x = 431.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.